Finding the Third Proportional to 253,188 and 380,602

Step by Step Solution

1. Step 1: Write the proportion equation
   253,188 : 380,602 = 380,602 : x
2. Step 2: Convert to fraction form
   253,188/380,602 = 380,602/x
3. Step 3: Cross multiply
   253,188x = 380,602 × 380,602
4. Step 4: Simplify right side
   253,188x = 144,857,882,404
5. Step 5: Solve for x
   x = 144,857,882,404/253,188
6. Step 6: Final answer
   x = 572,135.66